{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:EO6XACCYZDQ4VGWKFCSFA7H673","short_pith_number":"pith:EO6XACCY","canonical_record":{"source":{"id":"1804.05784","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2018-04-16T16:54:23Z","cross_cats_sorted":["hep-th","nlin.CD"],"title_canon_sha256":"19c20db2288e6febe6b9d4b19a7477338c7f10af65c1b3fa7b2d2085badb69ff","abstract_canon_sha256":"184b1727f6f1db167247abc720a92652bfde97abd765eac7831232aad92c2770"},"schema_version":"1.0"},"canonical_sha256":"23bd700858c8e1ca9aca28a4507cfefec573d4551109f8159a7eb2bc6b29a880","source":{"kind":"arxiv","id":"1804.05784","version":5},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.05784","created_at":"2026-05-17T23:52:27Z"},{"alias_kind":"arxiv_version","alias_value":"1804.05784v5","created_at":"2026-05-17T23:52:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.05784","created_at":"2026-05-17T23:52:27Z"},{"alias_kind":"pith_short_12","alias_value":"EO6XACCYZDQ4","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_16","alias_value":"EO6XACCYZDQ4VGWK","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_8","alias_value":"EO6XACCY","created_at":"2026-05-18T12:32:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:EO6XACCYZDQ4VGWKFCSFA7H673","target":"record","payload":{"canonical_record":{"source":{"id":"1804.05784","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2018-04-16T16:54:23Z","cross_cats_sorted":["hep-th","nlin.CD"],"title_canon_sha256":"19c20db2288e6febe6b9d4b19a7477338c7f10af65c1b3fa7b2d2085badb69ff","abstract_canon_sha256":"184b1727f6f1db167247abc720a92652bfde97abd765eac7831232aad92c2770"},"schema_version":"1.0"},"canonical_sha256":"23bd700858c8e1ca9aca28a4507cfefec573d4551109f8159a7eb2bc6b29a880","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:52:27.447827Z","signature_b64":"uNxPIFZ2WpV/6hJ4Ky1QazCDNGZfyvjKqtCyXWJX9ydsA3lxFOnkp3dXKL5krvD6xbW0u8myDbmKU+9gxHPUDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"23bd700858c8e1ca9aca28a4507cfefec573d4551109f8159a7eb2bc6b29a880","last_reissued_at":"2026-05-17T23:52:27.447145Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:52:27.447145Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1804.05784","source_version":5,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:52:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+XzJcH98V6vNYPsRWiVkXNuRdsfBY1H2q8cFE4th8sdyu6PlPDCVVhnHBXeKBnVBx/NQgG1WSMbzX92o9S0XBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T15:37:12.341228Z"},"content_sha256":"8bfa7cf6c22bf20a0eb90c9ad3219d875880aa111478367bfad35fa29875bd48","schema_version":"1.0","event_id":"sha256:8bfa7cf6c22bf20a0eb90c9ad3219d875880aa111478367bfad35fa29875bd48"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:EO6XACCYZDQ4VGWKFCSFA7H673","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Statistical mechanics of $d$-dimensional flows and cylindrically reduced passive scalars","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","nlin.CD"],"primary_cat":"physics.flu-dyn","authors_text":"Jian-Zhou Zhu","submitted_at":"2018-04-16T16:54:23Z","abstract_excerpt":"Statistical properties of $d$-dimensional incompressible flows with and without cylindrical reduction are studied, leading to several explanations and conjectures about turbulent flows and passive scalars, such as the de-correlation between the flow and scalar, reduction of passive scalar intermittency in the bottleneck regime, et al. The absolute-equilibrium analyses assure the correctness of a recent numerical result. It is implied that passive scalar(s) in two-dimensional (2D) space can be fundamentally different to those in $d>2$, concerning the correlations with the flow, which is not con"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.05784","kind":"arxiv","version":5},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:52:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ehoaYCSJA9mebSwEIXrQmXCXXdHWXYowGKcDdk2i0sGIC4lpcYsV2+XfyveT0rtRA35FsMTUSEiL7JPOcejZBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T15:37:12.341598Z"},"content_sha256":"38d50f418aa3ba9e3f7934cc06d804feb96406eb88a837002d4a94bb44c290e8","schema_version":"1.0","event_id":"sha256:38d50f418aa3ba9e3f7934cc06d804feb96406eb88a837002d4a94bb44c290e8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EO6XACCYZDQ4VGWKFCSFA7H673/bundle.json","state_url":"https://pith.science/pith/EO6XACCYZDQ4VGWKFCSFA7H673/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EO6XACCYZDQ4VGWKFCSFA7H673/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-01T15:37:12Z","links":{"resolver":"https://pith.science/pith/EO6XACCYZDQ4VGWKFCSFA7H673","bundle":"https://pith.science/pith/EO6XACCYZDQ4VGWKFCSFA7H673/bundle.json","state":"https://pith.science/pith/EO6XACCYZDQ4VGWKFCSFA7H673/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EO6XACCYZDQ4VGWKFCSFA7H673/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:EO6XACCYZDQ4VGWKFCSFA7H673","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"184b1727f6f1db167247abc720a92652bfde97abd765eac7831232aad92c2770","cross_cats_sorted":["hep-th","nlin.CD"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2018-04-16T16:54:23Z","title_canon_sha256":"19c20db2288e6febe6b9d4b19a7477338c7f10af65c1b3fa7b2d2085badb69ff"},"schema_version":"1.0","source":{"id":"1804.05784","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.05784","created_at":"2026-05-17T23:52:27Z"},{"alias_kind":"arxiv_version","alias_value":"1804.05784v5","created_at":"2026-05-17T23:52:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.05784","created_at":"2026-05-17T23:52:27Z"},{"alias_kind":"pith_short_12","alias_value":"EO6XACCYZDQ4","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_16","alias_value":"EO6XACCYZDQ4VGWK","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_8","alias_value":"EO6XACCY","created_at":"2026-05-18T12:32:22Z"}],"graph_snapshots":[{"event_id":"sha256:38d50f418aa3ba9e3f7934cc06d804feb96406eb88a837002d4a94bb44c290e8","target":"graph","created_at":"2026-05-17T23:52:27Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"Statistical properties of $d$-dimensional incompressible flows with and without cylindrical reduction are studied, leading to several explanations and conjectures about turbulent flows and passive scalars, such as the de-correlation between the flow and scalar, reduction of passive scalar intermittency in the bottleneck regime, et al. The absolute-equilibrium analyses assure the correctness of a recent numerical result. It is implied that passive scalar(s) in two-dimensional (2D) space can be fundamentally different to those in $d>2$, concerning the correlations with the flow, which is not con","authors_text":"Jian-Zhou Zhu","cross_cats":["hep-th","nlin.CD"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2018-04-16T16:54:23Z","title":"Statistical mechanics of $d$-dimensional flows and cylindrically reduced passive scalars"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.05784","kind":"arxiv","version":5},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:8bfa7cf6c22bf20a0eb90c9ad3219d875880aa111478367bfad35fa29875bd48","target":"record","created_at":"2026-05-17T23:52:27Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"184b1727f6f1db167247abc720a92652bfde97abd765eac7831232aad92c2770","cross_cats_sorted":["hep-th","nlin.CD"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2018-04-16T16:54:23Z","title_canon_sha256":"19c20db2288e6febe6b9d4b19a7477338c7f10af65c1b3fa7b2d2085badb69ff"},"schema_version":"1.0","source":{"id":"1804.05784","kind":"arxiv","version":5}},"canonical_sha256":"23bd700858c8e1ca9aca28a4507cfefec573d4551109f8159a7eb2bc6b29a880","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"23bd700858c8e1ca9aca28a4507cfefec573d4551109f8159a7eb2bc6b29a880","first_computed_at":"2026-05-17T23:52:27.447145Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:52:27.447145Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uNxPIFZ2WpV/6hJ4Ky1QazCDNGZfyvjKqtCyXWJX9ydsA3lxFOnkp3dXKL5krvD6xbW0u8myDbmKU+9gxHPUDA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:52:27.447827Z","signed_message":"canonical_sha256_bytes"},"source_id":"1804.05784","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8bfa7cf6c22bf20a0eb90c9ad3219d875880aa111478367bfad35fa29875bd48","sha256:38d50f418aa3ba9e3f7934cc06d804feb96406eb88a837002d4a94bb44c290e8"],"state_sha256":"ba7ad74e5896273286cdbefdd72a1965949316d6e98600891bcfccde12e1f47c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LakxUjRMnr9x5x1N4+pV7wbiMEYFez5q3yTjqyZcohEAMvQot7DNI94a9Fj0ekukvTbaWK/o0BHTZraJRfR1CQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T15:37:12.343712Z","bundle_sha256":"3f11e0305c326b9c487b22433823037125616d26eb790731ce1496cc39728def"}}